Fournoid Viewer

This applet demonstrates a subset of the family of CMC fournoids, constant mean curvature genus-zero surfaces with four asymptotically Delaunay ends.

The four sliders in the applet adjust the asymptotic necksizes of the Delaunay ends, and the "neck/bulge" button toggles between a neck and bulge at the center of the surface. Some examples have a static center between a neck and a bulge.

The asymptotic necksizes of a fournoid must satisfy the spherical fourgon inequalities. This applet demonstrates the subset of the moduli of fournoids which satisfy two further conditions: the sum of the necksizes is at most 1 (the round cylinder has necksize 1/2), and at least one pair of opposite ends has equal necksizes.

Java Archives:
Java NoidViewer archive: NoidViewer.jar
FournoidViewer image library: FournoidImage500.jar
Java NoidViewer source code: NoidViewerSrc.jar
NoidViewer uses the following JavaView archives: javaview.jar  jvx.jar